This paper proposes a unified theoretical framework to study the problem of finite/fixed-time drive-response anti-synchronization for a class of Markovian stochastic neural networks. State feedback switching controllers without the sign function are designed to achieve the finite/fixed-time anti-synchronization of the addressed systems. Compared with the existing synchronization criteria, our results indicate that the controllers via the switching control without the sign function are given with less conservativeness, and the controllers without any sign function can deal with the chattering problem. By employing Lyapunov functional method and properties of the Weiner process, several finite/fixed-time synchronization criteria are presented and the corresponding settling times are calculated as well. Finally, three numerical examples are provided to illustrate the effectiveness of the theoretical results.

中文翻译：

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具有随机干扰的马尔可夫神经网络的有限时间和固定时间反同步通过开关控制。

本文提出了一个统一的理论框架来研究一类马尔可夫随机神经网络的有限/固定时间驱动响应反同步问题。不带符号功能的状态反馈开关控制器旨在实现所寻址系统的有限/固定时间反同步。与现有的同步标准相比，我们的结果表明，通过不带符号功能的切换控制的控制器具有较低的保守性，而没有任何符号功能的控制器可以解决抖动问题。通过使用Lyapunov函数方法和Weiner过程的性质，提出了几种有限/固定时间同步准则，并计算了相应的建立时间。最后，